Question

8x^2+1/2x=2(2.5)

Answer 1

8x^2 +1/2x = 2(2.5)
We know that 2x2.5=5. So,
8x^2 +1/2x=5
Taking 2x in the denominator to the other side, we multiply it by 5 and the resulting number is 2x(5) = 10x.
So, the equation is now 8x^2 +1 =10x
Take 8x^2 + 1 -10x=0
Now this is a quadratic equation:
8x^2 -10x +1=0
We shall use the formula which says:
\[-b \pm \sqrt{b ^{2}-4ac}/2a\]
And substitute:
-(-10) +/- square root(100-32)/16
10 +/- square root(68)/16
There are 2 cases to this:
10 + 8.24/16 where 8.24 is the square root of 68, and
10 - 8.24/16.
The resulting answers are:
1.14, 0.16